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RoundQCF.m

19 Jul 2004 (Updated 01 Oct 2004)

RoundQCF(d,u,v) returns the "round" continued fraction expansion of (u+sqrt(d))/v.

File Information
Description	RoundQCF(d,u,v,quiet) returns the "round" continued fraction expansion of (u+sqrt(d))/v, where u and d are Gaussian integers and v is an ordinary positive integer. It also returns the round rational convergents as well as the coefficients u(k) and v(k) of the recipricols of the remainders x(k) = (u(k)+sqrt(d))/v(k).
Required Products	Aerospace Blockset
MATLAB release	MATLAB 6.0 (R12)

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Everyone's Tags	continued fraction, quadratic, round
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Updates
30 Jul 2004	I relaxed the restriction of v from positive integers to nonzero integers.
30 Jul 2004	I modified each cell of the output to consist of five columns, which are each explained at the beginning of the file.
30 Jul 2004	I fixed a few bugs.
30 Jul 2004	I updated the description below.
30 Sep 2004	I fixed the documentation a bit.
01 Oct 2004	I fixed the quiet option.